Problem 2697. Probability of winning single-elimination tournament

Find the probability that the p^{th} player will win a single-elimination tournament with 2^n players where M(i,j)=probability that player i will beat player j in a head-to-head matchup. In the first round player 1 plays player 2, player 3 plays player 4 and so on. (In each round each surviving competitor plays his surviving "next door neighbor" in the bracket.)

See also problem 2254.

Trivial example :


M = [ NaN 0.7 ; 0.3 NaN ]





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18.92% Correct | 81.08% Incorrect
Last Solution submitted on Mar 02, 2022

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